Question

On the children's baseball field shown, the distance from the pitcher's mound to home plate is 50 feet. The distance from the pitcher's mound to first base is 33 feet. Use the Pythagorean theorem to find the distance from home plate to first base.

Answer 1

the answer to this problem is 59.9

Answer 2

The Pythagorean theorem is with right triangles. You know that a right triangle is formed from first to the mound to home-plate. So when you draw it out and label the sides you have one missing side. the Pythagorean theorem is a^2 + b^2 = C^2. the c side is always the slanted side. In this case the c side would be from homeplate to first base. So you just have to solve now. (33)^2 + (50)^2 = c^2. So  1089 + 2500 = c^2. Add together and you get: 3589 = c^2. Lastly take the square-root of 3589 and that is the answer. 59.9. So the answer is 59.9 feet.